The number 96048

Q: Is 96048 a prime number?

No. 96048 = 2^4 × 3^2 × 23 × 29, so it is divisible by 2.

96048 is a composite number with 60 divisors. Its prime factorisation is $2^{4}$ × $3^{2}$ × 23 × 29. Divisors (60): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 29, 36, 46, 48 … 96048.

Number

Pick any whole number from 1 to 100,000.

96048 = 2^{4} \times 3^{2} \times 23 \times 29

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How to work it out

1
96048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
96048 is composite. Its prime factorisation is
$96048 = 2^{4} \times 3^{2} \times 23 \times 29$
3
The divisors add up to 290160; without 96048 itself that is 194112, so 96048 is abundant (194112 is more than 96048). Euler's totient φ(96048) = 29568 numbers up to 96048 share no factor with it.
4
The digits of 96048 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.

LaTeX source of the formulas on this page

\[ 96048 = 2^{4} \times 3^{2} \times 23 \times 29 \]

96048 at a glance

Property	Value
Type	composite
Number of divisors	60
Sum of divisors	290160
Euler totient φ(n)	29568
Square	9225218304
Cube	886063767662592
Square root	309.916118 (= 12√667)
Digit sum / digital root	27 / 9
Collatz steps to 1	45
Scientific notation	9.6048 × $10^{4}$

96048 in other forms

Form	Value
In words	ninety-six thousand and forty-eight
Binary (base 2)	10111011100110000
Octal (base 8)	273460
Hexadecimal (base 16)	17730
Base 3	11212202100
As time	96048 seconds = 26 h 40 min 48 s

Is 96048 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (96048 ÷ 2 = 48024)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (96048 ÷ 3 = 32016)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (96048 ÷ 4 = 24012)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 3)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (96048 ÷ 6 = 16008)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 1)	A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8	Yes (96048 ÷ 8 = 12006)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (96048 ÷ 9 = 10672)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 8)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 7)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (96048 ÷ 12 = 8004)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 96048 a prime number?

No. 96048 = $2^{4}$ × $3^{2}$ × 23 × 29, so it is divisible by 2.

What are the factors of 96048?

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 29, 36, 46, 48, 58, 69, 72, 87, 92, 116, 138, 144, 174, 184, 207, 232, 261, 276, 348, 368, 414, 464, 522, 552, 667, 696, 828, 1044, 1104, 1334, 1392, 1656, 2001, 2088, 2668, 3312, 4002, 4176, 5336, 6003, 8004, 10672, 12006, 16008, 24012, 32016, 48024, 96048.

What is 96048 in binary?

10111011100110000 (hexadecimal 17730, octal 273460).

What is the square root of 96048?

About 309.9161, exactly 12√667.

Is 96048 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 96048?

It is a composite number with 60 divisors.